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Finding the Fourth Proportional to 709.22, 978.44 and 523.15

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Solution

The fourth proportional to 709.22, 978.44 and 523.15 is: 721.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.22 : 978.44 = 523.15 : x
  2. Step 2: Convert to fraction form
    709.22/978.44 = 523.15/x
  3. Step 3: Cross multiply
    709.22x = 978.44 × 523.15
  4. Step 4: Simplify right side
    709.22x = 511,871.46
  5. Step 5: Solve for x
    x = 511,871.46/709.22
  6. Step 6: Final answer
    x = 721.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.